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Smooth models of quiver moduli

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Abstract

For any moduli space of stable representations of quivers, certain smooth varieties, compactifying projective space fibrations over the moduli space, are constructed. The boundary of this compactification is analyzed. Explicit formulas for the Betti numbers of the smooth models are derived. In the case of moduli of simple representations, explicit cell decompositions of the smooth models are constructed.

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  1. Fachbereich C - Mathematik, Bergische Universität Wuppertal, Gaußstr. 20, 42097, Wuppertal, Germany

    Johannes Engel & Markus Reineke

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  1. Johannes Engel
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  2. Markus Reineke
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Correspondence to Markus Reineke.

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Engel, J., Reineke, M. Smooth models of quiver moduli. Math. Z. 262, 817–848 (2009). https://doi.org/10.1007/s00209-008-0401-y

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  • DOI: https://doi.org/10.1007/s00209-008-0401-y

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